When an object is traveling exactly at escape speed, it is in a parabolic orbit with the body at the focus of the parabola. A parabolic path is open; hence an object following such a path will never return to the body. (Conservapedia)

Black holes, having infinite density, have an infinitely large escape speed. But it turns out that the escape speed value depends on how far an object is from a body of mass. So there is a certain distance from a black hole where the escape speed just equals the speed of light. (Are black holes real?)

One somewhat counterintuitive feature of escape velocity is that it is independent of direction, so that "velocity" is a misnomer; it is a scalar quantity and would more accurately be called "escape speed". (Space Wiki)